11100000111201 has 48 divisors (see below), whose sum is σ = 16753233369600. Its totient is φ = 7068620211840.

The previous prime is 11100000111181. The next prime is 11100000111203. The reversal of 11100000111201 is 10211100000111.

It is not a de Polignac number, because 11100000111201 - 2¹⁴ = 11100000094817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11100000111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886079800 + ... + 886092326.

It is an arithmetic number, because the mean of its divisors is an integer number (349025695200).

Almost surely, 2^{11100000111201} is an apocalyptic number.

It is an amenable number.

11100000111201 is a deficient number, since it is larger than the sum of its proper divisors (5653233258399).

11100000111201 is a wasteful number, since it uses less digits than its factorization.

11100000111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18046 (or 18043 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11100000111201 its reverse (10211100000111), we get a palindrome (21311100111312).

The spelling of 11100000111201 in words is "eleven trillion, one hundred billion, one hundred eleven thousand, two hundred one".